Home
Class 11
PHYSICS
A solid sphere of radius R made of a mat...

A solid sphere of radius R made of a material of bulk modulus K is surrounded by a liquid in a cylindrical container. A massless pistion of area A floats on the surface of the liquid. When a mass M is placed on the piston to compress the liquid the fractional change in the radius of the sphere, `deltaR//R`, is .............

Text Solution

Verified by Experts

The correct Answer is:
`(Delta R)/(R )=(Mg)/(3 A k)`
Promotional Banner

Topper's Solved these Questions

  • PROJECTILE MOTION

    SL ARORA|Exercise Problem For Self Practice|50 Videos
  • ROTATIONAL MOTION

    SL ARORA|Exercise Problem for self practice|90 Videos

Similar Questions

Explore conceptually related problems

A solid sphere of radius R made of a material of bulk modulus B is surrounded by a liquid in a cylindrical container. A massless piston of area A (the area of container is also A ) floats on the surface of the liquid. When a mass M is placed on the piston to compress the liquid , fractional change in radius of the sphere is (Mg)/(alpha AB) . Find the value of alpha .

A solid sphere of radius r made of a soft material of bulk modulus K is surrounded by a liquid in a cylindrical container. A massless piston of area a floats on the surface of the liquid, covering entire cross section of cylindrical container. When a mass m is placed on the surface of the piston to compress the liquid, the fractional decrement in the radius of the sphere, ((dr)/(r)),is

A rubber ball of bulk modulus B is taken to a depth h of a liquid of density rho . Find the fractional change in the radius of the ball.

A solid hemisphere of radius R is made to just sink in a liquid of density rho find the

From a solid sphere of mass M and radius R , a solid sphere of radius R//2 is removed as shown. Find gravitational force on mass m as shown

A sphere of radius R and made of material of relative density sigma has a concentric cavit of radius r. It just floats when placed in a tank full of water. The value of the ratio R//r will be

Three solid spheres of mass M and radius R are placed in contact as shown in figure. Find the potential energy of the system ?

A uniform solid sphere of mass m and radius r is suspended symmetrically by a uniform thin spherical shell of radius 2r and mass m .

A cylinder of radius R made of material of thermal conductivity K_(1) is surrounded by a cylindrical shell of inner radius R and outer radius 3R made of a material of thermal conductivity K_(2) . The two ends of the combined system are maintained at two different temperatures. What is the effective thermal conductivity of the system ?

SL ARORA-PROPERTIES OF SOLIDS-All Questions
  1. A solid ball 300 cm in diameter is submerged in a lake a such a depth ...

    Text Solution

    |

  2. A spherical ball contracts in volume by 0.0098% when subjected to a p...

    Text Solution

    |

  3. What increases in pressure will be needed to decrease the volume of 1....

    Text Solution

    |

  4. Determine the fractional change in volume as the pressure of the atmos...

    Text Solution

    |

  5. Find the density of the metal under a pressure of 20,000 N cm^(-2). Gi...

    Text Solution

    |

  6. Calculate the volume change of a solid copper cube, 40 mm on each edge...

    Text Solution

    |

  7. Find the depth of a lake at which density of water will be 10% higher ...

    Text Solution

    |

  8. The compressibility of water is 4xx10^-5 per unit atmospheric pressure...

    Text Solution

    |

  9. In taking a solid ball of rubber from the surface to the bottom of a ...

    Text Solution

    |

  10. A uniform pressure P is exerted by an external agent on all sides of a...

    Text Solution

    |

  11. A solid sphere of radius R made of a material of bulk modulus K is sur...

    Text Solution

    |

  12. The upper face of a cube of edge 1 m moves through a distance of 1 mm ...

    Text Solution

    |

  13. An Indian rubber cube of side 7 cm has one side fixed, while a tengent...

    Text Solution

    |

  14. A box shaped piece of gelatine desert has a top area of 15 cm^(2) and ...

    Text Solution

    |

  15. The metal cube of side 10 cm is subjected to a shearing stress of 10^(...

    Text Solution

    |

  16. Two parallel and opposite forces, each of magnitude 4000 N, are applie...

    Text Solution

    |

  17. A steel wire of 4.0 m is stretched through 2.0 mm. The cross - section...

    Text Solution

    |

  18. If the Young's modulus of steel is 2xx10^(11) Nm^(-2), calculate the ...

    Text Solution

    |

  19. A wire of area of cross section 3.0mm^2 and natural length 50 cm is fi...

    Text Solution

    |

  20. The limiting stress for a typical human bone is 0.9xx10^(8) Nm^(-2) wh...

    Text Solution

    |